Finding the Third Proportional to 577.69 and 1,238.06

Step by Step Solution

1. Step 1: Write the proportion equation
   577.69 : 1,238.06 = 1,238.06 : x
2. Step 2: Convert to fraction form
   577.69/1,238.06 = 1,238.06/x
3. Step 3: Cross multiply
   577.69x = 1,238.06 × 1,238.06
4. Step 4: Simplify right side
   577.69x = 1,532,798.75
5. Step 5: Solve for x
   x = 1,532,798.75/577.69
6. Step 6: Final answer
   x = 2,653.34